I would think you'd be fine. People live with yapping dogs, sirens, trucks, motor bikes... even the loudest hen is more pleasant than any of that.
I had considered getting a small flock of guinea fowl because I love them. They are pretty cute and they will eat every tick in your property.I wouldn't have a problem with a loud hen, but I'd rather make friends than enemies. Also, I'm confident they'll say yes if I put it to them the right way and then they'll have some ownership of the decision. It's important to me that the people I share fences with are happy.
I did a lot of research and decided that I better not. They are incredibly noisy, and they roam A LOT!